The Killing superalgebra of 10-dimensional supergravity backgrounds

2007/03/31 by José Figueroa-O’Farrill, José Figueroa-O'Farrill, Emily Hackett-Jones +1
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Algebra over a field #Black Holes and Theoretical Physics #Current algebra #Heterotic string theory #Homogeneous #Lie superalgebra #Mathematical physics #Nonlinear Waves and Solitons #Particle physics #Physics #Pure mathematics #Superalgebra #Supergravity #Supermatrix #Supersymmetry #Supersymmetry algebra #Type (biology) #hep-th

paper · pdf · doi:10.1088/0264-9381/24/13/010

published as Class.Quant.Grav.24:3291-3308,2007 · 21 pages; V2: 3 references added; V3: 1 reference added and two imprecisions corrected; V4: small changes due to error in a separate paper

openalex publication_date 2007/06/12 · arxiv created 2012/08/02 · arxiv updated 2012/08/03 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We construct the Killing superalgebra of supersymmetric backgrounds of 10-dimensional heterotic and type II supergravities and prove that it is a Lie superalgebra. We also show that if the fraction of supersymmetry preserved by the background is greater than 1/2, in the heterotic case, or greater than 3/4 in the type II case, then the background is locally homogeneous.

Citations

• Supergravity vacua and lorentzian Lie groups
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• Multi-dimensional classical and quantum cosmology: exact solutions, signature transition and stabilization
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• N=31, D=11
• Homogeneous plane waves